You could try for a B-2 for medical reasons with good documentation or Humanitarian Parole as answered in your other AVVO question.
Lynne R. Feldman, Attorney at Law
Concentrating in Immigration Law
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Former Adjunct Professor -- Immigration law
University of Illinois College of Law
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NYC EXPERIENCED IMMIGRATION ATTORNEYS www.myattorneyusa.com; email: email@example.com; Phone: (866) 456-8654; Fax: 212-964-0440; Cell: 212-202-0325. The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter.
There is no "quickest" way for a sibling. It's a whole different category from your parents and currently takes between 10-14 years for its priority date to become current.
If you want your brother to accompany your parents to the US, then you could try filing a humanitarian parole on his behalf. Those are rarely granted, however.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.